use patterns to simplify the expression. then, use properties of exponents to verify the answer…

use patterns to simplify the expression. then, use properties of exponents to verify the answer. \n\\(\frac{15^{14}}{15^9}\\)\n\nuse a pattern to rewrite the expression, and simplify the result if possible. select the correct choice and, if necessary, fill in the answer box to complete your choice.\na. \\(\frac{15^{14}}{15^9} = 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14}\\), which cannot be simplified further\nb. \\(\frac{15^{14}}{15^9} = \frac{15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15}{15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15}\\), which cannot be simplified further\nc. \\(\frac{15^{14}}{15^9} = (15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15) cdot (15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15)\\), which cannot be simplified further\nd. \\(\frac{15^{14}}{15^9} = 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^9 cdot 15^9 cdot 15^9 cdot 15^9 cdot 15^9\\), which simplifies to \\(square\\) \n( type exponential notation with positive exponents. )\ne. \\(\frac{15^{14}}{15^9} = (15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15) cdot (15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15)\\), which simplifies to \\(square\\)

use patterns to simplify the expression. then, use properties of exponents to verify the answer. \n\\(\frac{15^{14}}{15^9}\\)\n\nuse a pattern to rewrite the expression, and simplify the result if possible. select the correct choice and, if necessary, fill in the answer box to complete your choice.\na. \\(\frac{15^{14}}{15^9} = 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14}\\), which cannot be simplified further\nb. \\(\frac{15^{14}}{15^9} = \frac{15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15}{15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15}\\), which cannot be simplified further\nc. \\(\frac{15^{14}}{15^9} = (15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15) cdot (15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15)\\), which cannot be simplified further\nd. \\(\frac{15^{14}}{15^9} = 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^{14} cdot 15^9 cdot 15^9 cdot 15^9 cdot 15^9 cdot 15^9\\), which simplifies to \\(square\\) \n( type exponential notation with positive exponents. )\ne. \\(\frac{15^{14}}{15^9} = (15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15) cdot (15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15 cdot 15)\\), which simplifies to \\(square\\)

Answer

Answer:

B. $\frac{15^{14}}{15^{9}} = \frac{15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15}{15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15 \cdot 15}$, which simplifies to $15^{5}$